what does equivalent mean?

Copy this square exactly and shade in a quarter in as many different ways as you

can. You have 5 minutes

LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)

What does equivalent

mean?

Look at this diagram:

34

= 68

×2

×2

= 1824

×3

×3

Equivalent fractions

Look at this diagram:

23

= 69

×3

×3

= 2436

×4

×4

Equivalent fractions

Look at this diagram:

1830

= 610

÷3

÷3

= 35

÷2

÷2

Equivalent fractions

Equivalent Fractions

* Extension *Write as many fractions as you can that are equivalent to

LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)

Which is bigger or ?38

512

Another way to compare two fractions is to convert them to equivalent fractions.

Step 1: Find the lowest common multiple of 8 and 12.

The lowest common multiple of 8 and 12 is 24.

Now, write and as equivalent fractions over 24. 38

512

38

=24

×3

×3

9 and 512

=24

×2

×2

10 so, 38

512

<

Ordering FractionsFor each question, put the fractions in order:

1) Clue: make them all into eighths

LO: To change between equivalent fractions including improper and mixed numbers (5)To order fractions by using equivalence (6)

A fraction that is bigger than 1

But does NOT have a denominator of 22

Show me

A fraction that is bigger than 1

But does NOT have a denominator of 33

Show me

A fraction that is bigger than 2

But does NOT have a denominator of 33

Show me

A fraction that is equivalent to 2 3

Show me

A fraction that is equivalent to 5 8

Show me

LO: To change between improper and mixed numbers (5)

STARTER - put the fractions in order:

1) Clue: make them all into ninths

2) Clue: make them all into twenty-fourths

LO: To change between improper and mixed numbers (5)

Improper fraction – When the numerator of a fraction is larger than the

denominator

For example,154

is an improper fraction.

We can write improper fractions as mixed numbers.

154

can be shown as

154

= 3 34

LO: To change between improper and mixed numbers (5)

Convert to a mixed number.378

378

=88

+ + +88

88

88

+58

581 + 1 + 1 += 1 +

= 4 584

37 ÷ 8 = 4 remainder 5 378

= 4 584

This is the number of times 8 divides into 37.

4

This number is the remainder.

5

LO: To change between improper and mixed numbers (5)

1a) 5/3 1b) 21/5

1c) 33/5

2a) 11/4

2b) 19/3

2c) 50/6

3a) 10/3

3b) 27/8

3c) 39/4

4a) 9/8

4b) 15/2

4c) 40/12

Convert these improper fractions into mixed numbers:LO: To change between improper and mixed numbers (5)

Now check your answers…

1a) 12/3 1b) 41/5 1c) 63/5

2a) 23/4

2b) 61/3 2c) 82/3

3a) 31/3 3b) 33/8 3c) 93/4

4a) 11/8

4b) 71/2 4c) 34/12

LO: To change between improper and mixed numbers (5)

227733

Convert to an improper fraction273

273 =

271 + 1 + 1 +

=77

+ + +77

77

27

=237

To do this in one step,

=

Multiply these numbers together …

… and add this number …

… to get the numerator.237

LO: To change between improper and mixed numbers (5)

1a) 11/2 1b) 32/3 1c) 52/3

2a) 21/4

2b) 51/4 2c) 23/5

3a) 31/5 3b) 42/5 3c) 63/8

4a) 41/2

4b) 61/3 4c) 42/8

Convert these mixed numbers into improper fractionsLO: To change between improper and mixed numbers (5)

1a) 3/2 1b) 11/3

2a) 9/4

2b) 21/4

3a) 16/5

3b) 22/5

4a) 9/2

4b) 19/3

1c) 17/3

2c) 13/5

3c) 51/8

4c) 34/8

Now check your answers…

LO: To change between improper and mixed numbers (5)

Find the missing number

* WAGOLL *

* WAGOLL *

Convert mixed to improper:

Convert improper to mixed: